Umbilicity and characterization of Pansu spheres in the Heisenberg group

Umbilicity and characterization of Pansu spheres in the Heisenberg group

September 26, 2014 - 03:00
- September 26, 2014 - 04:00

Jih-Hsin Cheng , Academia Sinica, Taiwan

Fine Hall 314

For n≥2 we define a notion of umbilicity for hypersurfaces in the Heisenberg group H_{n}. We classify umbilic hypersurfaces in some cases, and prove that Pansu spheres are the only umbilic spheres with positive constant p(or horizontal)-mean curvature in H_{n} up to Heisenberg translations. This is joint work with Hung-Lin Chiu, Jenn-Fang Hwang, and Paul Yang.